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Finding the Third Proportional to 255,096 and 556,121

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Solution

The third proportional to 255,096 and 556,121 is: 1,212,369.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,096 : 556,121 = 556,121 : x
  2. Step 2: Convert to fraction form
    255,096/556,121 = 556,121/x
  3. Step 3: Cross multiply
    255,096x = 556,121 × 556,121
  4. Step 4: Simplify right side
    255,096x = 309,270,566,641
  5. Step 5: Solve for x
    x = 309,270,566,641/255,096
  6. Step 6: Final answer
    x = 1,212,369.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.